Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Nontraditional Methods in Mathematical Hydrodynamics
 
O. V. Troshkin Moscow Technical University, Moscow, Russia
Front Cover for Nontraditional Methods in Mathematical Hydrodynamics
Available Formats:
Hardcover ISBN: 978-0-8218-0285-4
Product Code: MMONO/144
197 pp 
List Price: $102.00
MAA Member Price: $91.80
AMS Member Price: $81.60
Electronic ISBN: 978-1-4704-4561-4
Product Code: MMONO/144.E
197 pp 
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00
MAA Member Price: $137.70
AMS Member Price: $122.40
Front Cover for Nontraditional Methods in Mathematical Hydrodynamics
Click above image for expanded view
  • Front Cover for Nontraditional Methods in Mathematical Hydrodynamics
  • Back Cover for Nontraditional Methods in Mathematical Hydrodynamics
Nontraditional Methods in Mathematical Hydrodynamics
O. V. Troshkin Moscow Technical University, Moscow, Russia
Available Formats:
Hardcover ISBN:  978-0-8218-0285-4
Product Code:  MMONO/144
197 pp 
List Price: $102.00
MAA Member Price: $91.80
AMS Member Price: $81.60
Electronic ISBN:  978-1-4704-4561-4
Product Code:  MMONO/144.E
197 pp 
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00
MAA Member Price: $137.70
AMS Member Price: $122.40
  • Book Details
     
     
    Translations of Mathematical Monographs
    Volume: 1441995
    MSC: Primary 76; Secondary 35;

    This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.

    Readership

    Researchers and graduate students working in mathematical physics and hydrodynamics.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • Chapter I. Stationary flows of an ideal fluid on the plane
    • Chapter II. Topology of two-dimensional flows
    • Chapter III. A two-dimensional passing flow problem for stationary Euler equations
    • Chapter IV. The dissipative top and the Navier-Stokes equations
    • Chapter V. Specific features of turbulence models
    • Appendix. Formal constructions connected with Euler equations
  • Reviews
     
     
    • The book overall treats a number of very special problems … from an interesting perspective.

      Mathematical Reviews
    • Can be used by researchers and graduate students working in mathematical physics and hydrodynamics.

      Zentralblatt MATH
  • Request Review Copy
  • Get Permissions
Volume: 1441995
MSC: Primary 76; Secondary 35;

This book discusses a number of qualitative features of mathematical models of incompressible fluids. Three basic systems of hydrodynamical equations are considered: the system of stationary Euler equations for flows of an ideal (nonviscous) fluid, stationary Navier-Stokes equations for flows of a viscous fluid, and Reynolds equations for the mean velocity field, pressure, and pair one-point velocity correlations of turbulent flows. The analysis concerns algebraic or geometric properties of vector fields generated by these equations, such as the general arrangement of streamlines, the character and distribution of singular points, conditions for their absence or appearance, and so on. Troshkin carries out a systematic application of the analysis to investigate conditions for unique solvability of a number of problems for these quasilinear systems. Containing many examples of particular phenomena illustrating the general ideas covered, this book will be of interest to researchers and graduate students working in mathematical physics and hydrodynamics.

Readership

Researchers and graduate students working in mathematical physics and hydrodynamics.

  • Chapters
  • Introduction
  • Chapter I. Stationary flows of an ideal fluid on the plane
  • Chapter II. Topology of two-dimensional flows
  • Chapter III. A two-dimensional passing flow problem for stationary Euler equations
  • Chapter IV. The dissipative top and the Navier-Stokes equations
  • Chapter V. Specific features of turbulence models
  • Appendix. Formal constructions connected with Euler equations
  • The book overall treats a number of very special problems … from an interesting perspective.

    Mathematical Reviews
  • Can be used by researchers and graduate students working in mathematical physics and hydrodynamics.

    Zentralblatt MATH
Please select which format for which you are requesting permissions.